puzzle 76 curious village
Puzzle 76: The Three Daughters (from Professor Layton and the Curious Village) is a classic age puzzle. Here's how to solve it: The Puzzle: A man has three daughters. The product of their ages is 36, and the sum of their ages is equal to the house number across the street. The eldest daughter plays piano. What are their ages? Solution: List all possible age combinations where the product is 36 (including all possible factors): - (1, 1, 36) Sum = 38 - (1, 2, 18) Sum = 21 - (1, 3, 12) Sum = 16 - (1, 4, 9) Sum = 14 - (1, 6, 6) Sum = 13 - (2, 2, 9) Sum = 13 - (2, 3, 6) Sum = 11 - (3, 3, 4) Sum = 10 The house number clue implies ambiguity. If the sum matches only one combination, the answer would be obvious. But since the puzzle mentions uncertainty, the sum must correspond to two possible combinations: - Both (1, 6, 6) and (2, 2, 9) sum to 13. The piano clue ("the eldest daughter") breaks the tie: - (1, 6, 6) implies two eldest daughters (both age 6), which contradicts "the eldest" (singular). - (2, 2, 9) clearly has one eldest daughter (age 9). Final Answer: The daughters are 2, 2, and 9 years old.
Puzzle 76: The Three Daughters (from Professor Layton and the Curious Village) is a classic age puzzle. Here's how to so...
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